Independent and Conditional Probability

When renting two cars, you decide to choose one of the blue cars. Your friend then chooses one of the red cars. Are these independent events?

• Yes

• No

A bag of 30 marbles has 9 black, 7 white, 6 yellow and the rest are green. What is the probability, in a percentage, that you will draw out a white or a yellow?

• 20%

• 35%

• 43%

• 57%

In Colorado, the probability that a person owns skis is 65% and the probability that they own skis and a snowboard is 25%. Find the probability that a person owns a snowboard given that they already own skis.

• 25%

• 38%

• 65%

• 78%

These days, 96.7% of Americans own a TV and 25.4% of Americans own a TV and a laptop. Find the probability that an American owns a laptop given that they own a TV.

• 96.7%

• 81.2%

• 71.3%

• 26.2%

Are the events "takes Spanish" and "participates in a club" independent events?

• Yes, because P(S) is the same as P(S given C).

• No, because P(S) is not the same as P(S given C).

• Yes, because P(S) is the same as P(C given S).

• No, because P(S) is not the same P(C given S).

Are the events "Sports" and "Community Service" independent?

• Yes, because P(S) is the same as P(S Given CS).

• No, because P(S) is not the same as P(S Given CS).

• Yes, because P(S) is the same as P(CS Given S).

• No, because P(S) is not the same as P(CS Given S).

• 1
• 2
• 3
• 4

Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine if the events M and S are independent.

• Independent

• Not Independent

Calculate the percentage of people that like yoga, given that they enjoy weightlifting.

• 10%

• 25%

• 30%

• 33%

What percentage of gym members asked about their preferences did not like either weightlifting or yoga?

• 10%

• 25%

• 30%

• 65%